Yes, I expect they will be just fine. They may look limp, even lay down flat in the bed if tall enough, and recover no worse for the wear when your weather warms. These are tough, don't worry about them :)

Now if they were just tough enough to withstand the contractor who stood on a couple of mine when replacing a large window this week....

Thanks for this post and answer, I was just getting worried about mine.

Mine is in white and in bloom but the plant is pretty flat to the ground. And today it's covered in snow!

OK, so they can survive the cold, but...... can they survive being covered in snow for long periods of time?

As snow is a wonderful insulator, they are likely happier under snow than being exposed to raw cold. But it may depend on what you mean by "long periods of time" - couple of weeks, no problem, Couple of months may be a different story.

As Gardengal says, snow is the best that can happen to them once it gets cold. Temperatures around 10 degrees without sufficient snow cover is what did my Jacob flowers in. Under a good layer of snow they would probably have come out in much better condition.
Poor 'Jacob'

I live in Ohio so it's a toss up on the snow. Sometimes we get a lot and sometimes we don't. The last few years have been absolutely terrible. This year hasn't been too bad.